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Clifford Algebra to Geometric Calculus
- C. Kilmister, D. Hestenes, G. Sobczyk
- Mathematics
- 1984
Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics
- D. Hestenes, G. Sobczyk, J. S. Marsh
- Mathematics
- 30 June 1984
1 / Geometric Algebra.- 1-1. Axioms, Definitions and Identities.- 1-2. Vector Spaces, Pseudoscalars and Projections.- 1-3. Frames and Matrices.- 1-4. Alternating Forms and Determinants.- 1-5.…
The Hyperbolic Number Plane
- G. Sobczyk
- Mathematics
- 1 September 1995
INTRODUCTION. The complex numbers were grudgingly accepted by Renaissance mathematicians because of their utility in solving the cubic equation. Whereas the complex numbers were discovered primarily…
Lectures on Clifford (geometric) algebras and applications
- R. Abłamowicz, G. Sobczyk
- Mathematics
- 2004
Preface (Rafal Ablamowicz and Garret Sobczyk) * Lecture 1: Introduction to Clifford Algebras (Pertti Lounesto) * 1.1 Introduction * 1.2 Clifford algebra of the Euclidean plane * 1.3 Quaternions * 1.4…
Geometric Algebra with Applications in Science and Engineering
- E. B. Corrochano, G. Sobczyk
- Mathematics, Computer Science
- 21 October 2012
Advances in Geometric Algebra Computing Lie Algebras and Geometric Algebra, Geometric Filtering, Interpolation, Optimization Geometric Algebra of Computer Vision Neural and Quatum Computing Geometric…
Simplicial calculus with Geometric Algebra
- G. Sobczyk
- Mathematics
- 1992
We construct geometric calculus on an oriented k-surface embedded in Euclidean space by utilizing the notion of an oriented k-surface as the limit set of a sequence of k-chains. This method provides…
Relativity in Clifford's Geometric Algebras of Space and Spacetime
- W. E. Baylis, G. Sobczyk
- Physics, Mathematics
- 7 May 2004
Of the various formalisms developed to treat relativistic phenomena, those based on Clifford's geometric algebra are especially well adapted for clear geometric interpretations and computational…
Hybrid Matrix Geometric Algebra
- G. Sobczyk, G. Erlebacher
- MathematicsIWMM/GIAE
- 19 May 2004
TLDR
New Foundations in Mathematics: The Geometric Concept of Number
- G. Sobczyk
- Mathematics
- 28 October 2012
1 Modular Number Systems.- 2 Complex and Hyperbolic Numbers.- 3 Geometric Algebra.- 4 Vector Spaces and Matrices.- 5 Outer Product and Determinants.- 6 Systems of Linear Equations.- 7 Linear…
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